Finding the Third Proportional to 117,411 and 178,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,411 : 178,357.50 = 178,357.50 : x
2. Step 2: Convert to fraction form
   117,411/178,357.50 = 178,357.50/x
3. Step 3: Cross multiply
   117,411x = 178,357.50 × 178,357.50
4. Step 4: Simplify right side
   117,411x = 31,811,397,806.25
5. Step 5: Solve for x
   x = 31,811,397,806.25/117,411
6. Step 6: Final answer
   x = 270,940.52